A Baseball Player Is Asked to Swing at Pitches in Sets

Multiple Choice

A baseball player is asked to swing at pitches in sets of four. The player swings at 100 sets of 4 pitches. Theprobability distribution for hitting a particular number of pitches is given below. Determine the standarddeviation for this discrete probability distribution. $$\begin{array} { | c | c | c | c | c | c | } \hline x & 0 & 1 & 2 & 3 & 4 \\\hline P ( x ) & 0.02 & 0.07 & 0.22 & 0.27 & 0.42 \\\hline\end{array}$$

A) 1.05
B) 1.10
C) 1.21
D) 0.28